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When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Dec 2005, 01:16
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A
B
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Difficulty:
25% (medium)
Question Stats:
73% (02:05) correct
27% (01:25) wrong based on 184 sessions
When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?
Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Dec 2005, 01:26
In 1 hr,
volume = 22 = pi (r^3)(0.7)
pi is 22/7 (approximately), so 22 = 22/7(r^3)(7/10)
22 = 22/10(r^3)
10 = r^3
So choice c,d, and e are out since 4^3, 5^3 and 10^3 are out greater than 10.
sqrt9 = 3, sqrt 16 = 4, so sqrt10 is going to be slightly above 3. So choice B is out, since r^3 = 10 * sqrt(10) which is going to be slightly above 30.
Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Dec 2005, 20:40
I made an error in calculation !! Sorry, the volume of the cylinder should be pi*r^2*h. I do not know why I put it down as pi*r^3^h and even went on to work out the problem.
Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Dec 2005, 22:36
GMATT73 wrote:
When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?
A. sqrt10/2 B. sqrt10 C. 4 D. 5 E. 10
22 = PI r^2 * 0.7
22 = 22/7 * r^2 * 0.7
1= r^2/10
=> r= Sqrt(10) ----> B
Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Aug 2014, 20:28
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Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Aug 2014, 21:20
GMATT73 wrote:
When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?
A. sqrt10/2 B. sqrt10 C. 4 D. 5 E. 10
The area of the base = 22/0.7 = 220/7 = about 31 m^2 = Pi * r^2 --> r^2 = 31/3.14 = about 10 --> r = sqrt (10)
Answer is B _________________
......................................................................... +1 Kudos please, if you like my post
Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
19 Aug 2014, 01:28
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GMATT73 wrote:
When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?
A. √10/2 B. √10 C. 4 D. 5 E. 10
We are basically told that a cylinder with a height of 0.7 (7/10) meters has the volume of 22 cubic meters.
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